Answer:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
Step-by-step explanation:
Given
See attachment for model
Required
Determine [tex]\frac{4}{7}\times\frac{13}{9}[/tex] from the model
The model is represented by:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 36 ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{9}{9} = \frac{36}{63}[/tex]
To get: [tex]\frac{4}{7}\times\frac{9}{9}[/tex], we consider the first partition
The number of shaded box is 63 ---- this represents the denominator
The total boxes shaded at the bottom is 16 (do not count the gray boxes) ---- this represents the numerator
So, we have:
[tex]\frac{4}{7}\times\frac{4}{9} =\frac{16}{63}[/tex]
The equation becomes:
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{4}{7}\times\frac{9}{9} + \frac{4}{7}\times\frac{4}{9}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36}{63} + \frac{16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{36+16}{63}[/tex]
[tex]\frac{4}{7}\times\frac{13}{9} = \frac{52}{63}[/tex]
